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Finding the Fourth Proportional to 490,214.40, 735,343.20 and 276,979.20

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Solution

The fourth proportional to 490,214.40, 735,343.20 and 276,979.20 is: 415,481.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,214.40 : 735,343.20 = 276,979.20 : x
  2. Step 2: Convert to fraction form
    490,214.40/735,343.20 = 276,979.20/x
  3. Step 3: Cross multiply
    490,214.40x = 735,343.20 × 276,979.20
  4. Step 4: Simplify right side
    490,214.40x = 203,674,771,261.44
  5. Step 5: Solve for x
    x = 203,674,771,261.44/490,214.40
  6. Step 6: Final answer
    x = 415,481.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.